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130020101031220 = 22583181432736807
BaseRepresentation
bin11101100100000010101001…
…111011111000010100110100
3122001100210121101122110210121
4131210002221323320110310
5114020222131330444340
61140310224304501324
736246433211514151
oct3544025173702464
9561323541573717
10130020101031220
1138479240462524
12126ba92491a844
135771ac5b74aba
142417013a63228
1510071c411e94a
hex7640a9ef8534

130020101031220 has 48 divisors (see below), whose sum is σ = 277858573469568. Its totient is φ = 51097562052480.

The previous prime is 130020101031203. The next prime is 130020101031263. The reversal of 130020101031220 is 22130101020031.

It is a super-2 number, since 2×1300201010312202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130020101031194 and 130020101031203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216067944 + ... + 216668863.

It is an arithmetic number, because the mean of its divisors is an integer number (5788720280616).

Almost surely, 2130020101031220 is an apocalyptic number.

130020101031220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130020101031220 is an abundant number, since it is smaller than the sum of its proper divisors (147838472438348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130020101031220 is a wasteful number, since it uses less digits than its factorization.

130020101031220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432737080 (or 432737078 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 130020101031220 its reverse (22130101020031), we get a palindrome (152150202051251).

The spelling of 130020101031220 in words is "one hundred thirty trillion, twenty billion, one hundred one million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 83 166 181 332 362 415 724 830 905 1660 1810 3620 15023 30046 60092 75115 150230 300460 432736807 865473614 1730947228 2163684035 4327368070 8654736140 35917154981 71834309962 78325362067 143668619924 156650724134 179585774905 313301448268 359171549810 391626810335 718343099620 783253620670 1566507241340 6501005051561 13002010103122 26004020206244 32505025257805 65010050515610 130020101031220